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A particle of mass \(m\) and charge \(q\) moving with a uniform velocity \(\vec{v}=v_{0 x} \hat{i}+v_{0 y} \hat{j}\) ent…

Q1

A particle of mass \(m\) and charge \(q\) moving with a uniform velocity \(\vec{v}=v_{0 x} \hat{i}+v_{0 y} \hat{j}\) enters a region with a magnetic field \(\vec{B}=B_0 \hat{j}\). After some time, an electric field \(\overrightarrow{ E }= E _0 \hat{ j }\) is also switched on in the region. The resulting path described by the particle will be :

a

a circle in \(x-z\) plane

b

a parabola in \(x\)-y plane

c

a helix with constant pitch

d

a helix with increasing pitch

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